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Finding the Fourth Proportional to 102,031.20, 140,873.04 and 78,115.68

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Solution

The fourth proportional to 102,031.20, 140,873.04 and 78,115.68 is: 107,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.20 : 140,873.04 = 78,115.68 : x
  2. Step 2: Convert to fraction form
    102,031.20/140,873.04 = 78,115.68/x
  3. Step 3: Cross multiply
    102,031.20x = 140,873.04 × 78,115.68
  4. Step 4: Simplify right side
    102,031.20x = 11,004,393,313.27
  5. Step 5: Solve for x
    x = 11,004,393,313.27/102,031.20
  6. Step 6: Final answer
    x = 107,853.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.